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2040330220 = 225372431733
BaseRepresentation
bin111100110011100…
…1111011111101100
312021012020111212221
41321213033133230
513134311031340
6534243205124
7101363343415
oct17147173754
95235214787
102040330220
11957793325
1248b3767a4
132669282b6
14154d9680c
15be1cc44a
hex799cf7ec

2040330220 has 72 divisors (see below), whose sum is σ = 4508635824. Its totient is φ = 775160064.

The previous prime is 2040330209. The next prime is 2040330221. The reversal of 2040330220 is 220330402.

It is a junction number, because it is equal to n+sod(n) for n = 2040330194 and 2040330203.

It is not an unprimeable number, because it can be changed into a prime (2040330221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176474 + ... + 1178206.

It is an arithmetic number, because the mean of its divisors is an integer number (62619942).

Almost surely, 22040330220 is an apocalyptic number.

2040330220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254317912).

2040330220 is an abundant number, since it is smaller than the sum of its proper divisors (2468305604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2040330220 is a wasteful number, since it uses less digits than its factorization.

2040330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2040330220 is about 45170.0146114654. The cubic root of 2040330220 is about 1268.3335698220. Note that the first 3 decimals are identical.

Adding to 2040330220 its reverse (220330402), we get a palindrome (2260660622).

The spelling of 2040330220 in words is "two billion, forty million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 740 860 1369 1591 1733 2738 3182 3466 5476 6364 6845 6932 7955 8665 13690 15910 17330 27380 31820 34660 58867 64121 74519 117734 128242 149038 235468 256484 294335 298076 320605 372595 588670 641210 745190 1177340 1282420 1490380 2372477 2757203 4744954 5514406 9489908 11028812 11862385 13786015 23724770 27572030 47449540 55144060 102016511 204033022 408066044 510082555 1020165110 2040330220